What is the Greatest Common Factor of 979 and 990?
Greatest common factor (GCF) of 979 and 990 is 11.
GCF(979,990) = 11
We will now calculate the prime factors of 979 and 990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 979 and 990.
How to find the GCF of 979 and 990?
We will first find the prime factorization of 979 and 990. After we will calculate the factors of 979 and 990 and find the biggest common factor number .
Step-1: Prime Factorization of 979
Prime factors of 979 are 11, 89. Prime factorization of 979 in exponential form is:
979 = 111 × 891
Step-2: Prime Factorization of 990
Prime factors of 990 are 2, 3, 5, 11. Prime factorization of 990 in exponential form is:
990 = 21 × 32 × 51 × 111
Step-3: Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1, 11, 89
Step-4: Factors of 990
List of positive integer factors of 990 that divides 979 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 979 and 990. The biggest common factor number is the GCF number.
So the greatest common factor 979 and 990 is 11.
Also check out the Least Common Multiple of 979 and 990
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